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Finding the Third Proportional to 18,078.19 and 37,416.94

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Solution

The third proportional to 18,078.19 and 37,416.94 is: 77,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078.19 : 37,416.94 = 37,416.94 : x
  2. Step 2: Convert to fraction form
    18,078.19/37,416.94 = 37,416.94/x
  3. Step 3: Cross multiply
    18,078.19x = 37,416.94 × 37,416.94
  4. Step 4: Simplify right side
    18,078.19x = 1,400,027,211.88
  5. Step 5: Solve for x
    x = 1,400,027,211.88/18,078.19
  6. Step 6: Final answer
    x = 77,442.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.